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Finding the Third Proportional to 9,763,852 and 20,420,000

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Solution

The third proportional to 9,763,852 and 20,420,000 is: 42,706,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763,852 : 20,420,000 = 20,420,000 : x
  2. Step 2: Convert to fraction form
    9,763,852/20,420,000 = 20,420,000/x
  3. Step 3: Cross multiply
    9,763,852x = 20,420,000 × 20,420,000
  4. Step 4: Simplify right side
    9,763,852x = 416,976,400,000,000
  5. Step 5: Solve for x
    x = 416,976,400,000,000/9,763,852
  6. Step 6: Final answer
    x = 42,706,136.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.